Abstract:
The paper considers minimal splines of Lagrange type of lower orders, and a system of functionals biorthogonal to the system of minimal coordinate splines is constructed. The results obtained are illustrated on the example of a polynomial generating vector function, which leads to the construction of $B$-splines from the approximation relations.
Key words and phrases:minimal spline, $B$-spline, biorthogonal system, dual functional, de Boor–Fix functional.